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Evolutionary games are studied where the teaching activity of players can evolve in time. Initially all players following either the cooperative or defecting strategy are distributed on a square lattice. The rate of strategy adoption is…

物理与社会 · 物理学 2008-04-23 Attila Szolnoki , Matjaz Perc

We extend the formalism of Conjectural Variations games to Stackelberg games involving multiple leaders and a single follower. To solve these nonconvex games, a common assumption is that the leaders compute their strategies having perfect…

计算机科学与博弈论 · 计算机科学 2025-07-24 Francesco Morri , Hélène Le Cadre , Luce Brotcorne

A minority game whose strategies are given by probabilities p, is replaced by a 'simplified' version that makes no use of memories at all. Numerical results show that the corresponding distribution functions are indistinguishable. A related…

凝聚态物理 · 物理学 2009-10-31 E. Burgos , Horacio Ceva

Consider a 2-player normal-form game repeated over time. We introduce an adaptive learning procedure, where the players only observe their own realized payoff at each stage. We assume that agents do not know their own payoff function, and…

计算机科学与博弈论 · 计算机科学 2013-06-13 Mario Bravo , Mathieu Faure

We compare games under delayed control and delay games, two types of infinite games modelling asynchronicity in reactive synthesis. In games under delayed control both players suffer from partial informedness due to symmetrically delayed…

计算机科学与博弈论 · 计算机科学 2025-03-19 Martin Fränzle , Paul Kröger , Sarah Winter , Martin Zimmermann

We study a modification of the so-called Parrondo's paradox where a large number of individuals choose the game they want to play by voting. We show that it can be better for the players to vote randomly than to vote according to their own…

物理与社会 · 物理学 2014-10-03 L. Dinis , J. M. R. Parrondo

We study a modified prisoner's dilemma game taking place on two-dimensional disordered square lattices. The players are pure strategists and can either cooperate or defect with their immediate neighbors. In the generations each player…

物理与社会 · 物理学 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Zi-Gang Huang , Sheng-Jun Wang , Ying-Hai Wang

We study a variation of the minority game. There are N agents. Each has to choose between one of two alternatives everyday, and there is reward to each member of the smaller group. The agents cannot communicate with each other, but try to…

交易与市场微观结构 · 定量金融 2015-05-27 Deepak Dhar , V. Sasidevan , Bikas K. Chakrabarti

Game balancing is an important part of the (computer) game design process, in which designers adapt a game prototype so that the resulting gameplay is as entertaining as possible. In industry, the evaluation of a game is often based on…

人机交互 · 计算机科学 2016-03-15 Vanessa Volz , Günter Rudolph , Boris Naujoks

In the evolutionary minority game, agents are allowed to evolve their strategies (``mutate'') based on past experience. We explore the dependence of the system's global behavior on the response time and the mutation threshold of the agents.…

统计力学 · 物理学 2009-11-10 Shahar Hod , Ehud Nakar

We study the emergency of mutual cooperation in evolutionary prisoner's dilemma games when the players are located on a square lattice. The players can choose one of the three strategies: cooperation (C), defection (D) or "tit for tat" (T),…

统计力学 · 物理学 2015-06-24 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

Dynamic environments shape diverse dynamics in evolutionary game systems. We introduce spatial heterogeneity of resources into the prisoner's dilemma game model to explore coevolutionary game dynamics with environmental feedback. The…

种群与进化 · 定量生物学 2025-02-17 Yi-Duo Chen , Jian-Yue Guan , Zhi-Xi Wu

We consider evolutionary games in which the agent selected for update compares their payoff to q neighbours, rather than a single neighbour as in standard evolutionary game theory. Through studying fixed point stability and fixation times…

物理与社会 · 物理学 2025-01-14 Christopher R. Kitching , Tobias Galla

We define the class of "simple recursive games". A simple recursive game is defined as a simple stochastic game (a notion due to Anne Condon), except that we allow arbitrary real payoffs but disallow moves of chance. We study the complexity…

计算机科学与博弈论 · 计算机科学 2007-11-08 Daniel Andersson , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

We study the quality of outcomes in repeated games when the population of players is dynamically changing and participants use learning algorithms to adapt to the changing environment. Game theory classically considers Nash equilibria of…

计算机科学与博弈论 · 计算机科学 2020-05-25 Thodoris Lykouris , Vasilis Syrgkanis , Eva Tardos

We consider multi-player games played on graphs, in which the players aim at fulfilling their own (not necessarily antagonistic) objectives. In the spirit of evolutionary game theory, we suppose that the players have the right to repeatedly…

计算机科学与博弈论 · 计算机科学 2019-10-04 Thomas Brihaye , Gilles Geeraerts , Marion Hallet , Benjamin Monmege , Bruno Quoitin

In this paper, we study the number of equilibria of the replicator-mutator dynamics for both deterministic and random multi-player two-strategy evolutionary games. For deterministic games, using Decartes' rule of signs, we provide a formula…

动力系统 · 数学 2019-10-14 Manh Hong Duong , The Anh Han

While game theory is widely used to model strategic interactions, a natural question is where do the game representations come from? One answer is to learn the representations from data. If one wants to learn both the payoffs and the…

计算机科学与博弈论 · 计算机科学 2012-03-19 Xi Alice Gao , Avi Pfeffer

The modelling of evolutionary game dynamics in finite populations requires microscopic processes that determine how strategies spread. The exact details of these processes are often chosen without much further consideration. Different types…

种群与进化 · 定量生物学 2014-06-17 Bin Wu , Benedikt Bauer , Tobias Galla , Arne Traulsen

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

计算机科学与博弈论 · 计算机科学 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff